#include <bits/stdc++.h> #define REP(i, n) for(int i = 0;i < n;i++) #define ll long long using namespace std; typedef pair<int, int> P; typedef pair<ll,ll> LP; const int dx[8] = {1, 0, -1, 0, 1, -1, -1, 1}; const int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1}; const int INF = 1000000000; const ll LINF = 1000000000000000000;//1e18 const ll MOD = 1000000007; const ll MOD2 = 998244353; const double PI = acos(-1.0); const double EPS = 1e-10; template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } //template<class T> inline void add(T &a, T b){a = ((a+b) % MOD + MOD) % MOD;}; template<int MOD> struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % MOD) { if (val < 0) val += MOD; } constexpr int getmod() { return MOD; } constexpr Fp operator - () const noexcept { return val ? MOD - val : 0; } constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; } constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; } constexpr Fp& operator += (const Fp& r) noexcept { val += r.val; if (val >= MOD) val -= MOD; return *this; } constexpr Fp& operator -= (const Fp& r) noexcept { val -= r.val; if (val < 0) val += MOD; return *this; } constexpr Fp& operator *= (const Fp& r) noexcept { val = val * r.val % MOD; return *this; } constexpr Fp& operator /= (const Fp& r) noexcept { long long a = r.val, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } constexpr bool operator == (const Fp& r) const noexcept { return this->val == r.val; } constexpr bool operator != (const Fp& r) const noexcept { return this->val != r.val; } friend constexpr ostream& operator << (ostream &os, const Fp<MOD>& x) noexcept { return os << x.val; } friend constexpr Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } }; template<class T> struct BiCoef { vector<T> fact_, inv_, finv_; constexpr BiCoef() {} constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) { init(n); } constexpr void init(int n) noexcept { fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1); int MOD = fact_[0].getmod(); for(int i = 2; i < n; i++){ fact_[i] = fact_[i-1] * i; inv_[i] = -inv_[MOD%i] * (MOD/i); finv_[i] = finv_[i-1] * inv_[i]; } } constexpr T com(int n, int k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[k] * finv_[n-k]; } constexpr T fact(int n) const noexcept { if (n < 0) return 0; return fact_[n]; } constexpr T inv(int n) const noexcept { if (n < 0) return 0; return inv_[n]; } constexpr T finv(int n) const noexcept { if (n < 0) return 0; return finv_[n]; } constexpr T perm(int n, int k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[n-k]; } }; using mint = Fp<MOD>; BiCoef<mint> bc; using vec = vector<mint>; using mat = vector<vec>; mat mul(mat& A,mat& B){ mat C(A.size(), vec(B[0].size())); for(int i=0;i<A.size();i++){ for(int j=0;j<B[0].size();j++){ for(int k=0;k<A[0].size();k++){ C[i][j] += A[i][k] * B[k][j]; } } } return C; } mat pow(mat A, ll n){ mat B(A.size(), vec(A.size())); for(int i=0;i<A.size();i++){ B[i][i] = 1; } while(n > 0){ if(n & 1) B = mul(B, A); A = mul(A, A); n >>= 1; } return B; } void solve(){ int k, m; ll n; cin >> k >> m >> n; vector<vector<mint>> mm(k*k, vector<mint>(k*k)); REP(i,m){ int p, q, r; cin >> p >> q >> r; --p, --q, --r; mm[p*k+q][q*k+r] = 1; } mm = pow(mm, n-2); mint ans = 0; REP(i,k) REP(j,k) ans += mm[i][j*k]; cout << ans << endl; } int main(){ cin.tie(0); ios::sync_with_stdio(false); solve(); // int T; cin >> T; REP(t,T) solve(); }